中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
几何分析研讨班
Speaker: 韩青教授（美国圣母大学）
Inviter: 张晓
Language: Chinese
Title: Global and Exterior Solutions to the Minimal Surface Equation
Time & Venue: 2026年3月20日（星期五）10：00-11：30 & N219
Abstract: A characterization of global solutionsto the minimal surface equation has beenknown by the efforts of Bernstein (1914), DeGiorgi (1965), Almgren (1966), Simons (1968),and Bombieri, De Giorgi, and Giusti (1969). Inthis talk, we first review relevant results. Then,we switch to exterior solutions and aim topresent a complete characterization ofsolutions to the minimal surface equation nearinfinity. It is well-known that Dirichlet boundaryvalue problems in exterior domains do notalways admit solutions. We demonstrate thatprescribing asymptotic behaviors forms a newtype of problems leading to all solutions nearinfinity. The harmonic functions determiningthe asymptotic behaviors play the role of "freedata" as the boundary values in the boundaryvalue problems.
附件：